I commute into central Leeds and central Bradford. If I waited in traffic, the 19km journeys would take just shy of twice as long. I use bus lanes and go around the outside of cars pretty much the whole route. So far, no close calls. I use 1 magic shine on strobe when filtering to deter people turning in front of me.
I never squeeze up the inside, but do have to cope with a couple of 3 lane sections which require me to assert my presence. On the whole, I've been surprised how accommodating the traffic is. I suspect they know they aren't going anywhere fast, and so realise it's not me that's going to be getting in their way.
Both routes are ripe for encouraging cycling. I repass cars that pass me leaving my village roughly halfway along the route into each city, and then they are bumper to bumper pretty much the rest of the way. I suspect even a slow cyclist would be quicker on bike if there was decent provision / pinch point are dealt with. It'd be a doddle to make a Otley - Leeds cycling superhighway, for instance - the roads are wonderfully wide - never get close passes. Otley - Bradford, not quite as nice, and the gradients are a bit steeper.